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1066382604 = 223379411499
BaseRepresentation
bin111111100011111…
…011010100001100
32202022120211221000
4333203323110030
54140443220404
6253452140300
735266050120
oct7743732414
92668524830
101066382604
114a7a44041
12259167690
1313cc10331
14a18ab580
1563945339
hex3f8fb50c

1066382604 has 96 divisors (see below), whose sum is σ = 3165120000. Its totient is φ = 304153920.

The previous prime is 1066382599. The next prime is 1066382617. The reversal of 1066382604 is 4062836601.

1066382604 is a `hidden beast` number, since 10 + 6 + 6 + 38 + 2 + 604 = 666.

It is a super-2 number, since 2×10663826042 = 2274343716227641632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 710647 + ... + 712145.

It is an arithmetic number, because the mean of its divisors is an integer number (32970000).

Almost surely, 21066382604 is an apocalyptic number.

1066382604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066382604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582560000).

1066382604 is an abundant number, since it is smaller than the sum of its proper divisors (2098737396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1066382604 is a wasteful number, since it uses less digits than its factorization.

1066382604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1066382604 is about 32655.5141438624. The cubic root of 1066382604 is about 1021.6552018468.

The spelling of 1066382604 in words is "one billion, sixty-six million, three hundred eighty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 941 1499 1882 2823 2998 3764 4497 5646 5996 6587 8469 8994 10493 11292 13174 13491 16938 17988 19761 20986 25407 26348 26982 31479 33876 39522 40473 41972 50814 53964 59283 62958 79044 80946 94437 101628 118566 125916 161892 177849 188874 237132 283311 355698 377748 566622 711396 1133244 1410559 2821118 4231677 5642236 8463354 9873913 12695031 16926708 19747826 25390062 29621739 38085093 39495652 50780124 59243478 76170186 88865217 118486956 152340372 177730434 266595651 355460868 533191302 1066382604